Step-by-step explanation:
the average rate of change between two input values is the total change of the function values (output values) divided by the change in the input values.
so,
(h(7) - (h(3)) / (7 - 3)
h(7) = 7² - 7×7 + 6 = 49 - 49 + 6 = 6
h(3) = 3² - 7×3 + 6 = 9 - 21 + 6 = -6
7 - 3 = 4
(6 - -6)/4 = 12/4 = 3
the average change rate in that interval is 3 (or fully 3/1).
For 31 you need 6% OF 50 meaning you need to multiply. 50*0.06=3. The answer for 31 is 3.
To find 33 you need to divide 1 by 0.4 to find how much you need to multiply 28 by. 1/0.4= 2.5 then you need to do 2.5*28 which would equal 70. The answer for 33 is 70.
To find 35 you need to notice that it DECREASES in meaning the bigger number (20) would be the denominator of the fraction and 15 would be the numerator. Therefore the fraction would b 15/20 or 75% of 20 would equal out to 15.
For question 4 the answer is yes and for question 5 the answer is false
<span> 4x + 4y = 20
If I'm not mistakened, this is in it's standard form.
Slope intercept form </span>→ y = mx + b
Let's transform this into that form.
4x + 4y = 20
4y = -4x = 20
y = -x + 5
The slope intercept form would be ⇒ <span>y = -1x + 5 </span>